Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/119065
Title: | From hierarchies to levels: new solutions for games with a hierarchical structure |
Author: | Álvarez-Mozos, Mikel Brink, René van den Laan, Gerard van der Tejada, Oriol |
Keywords: | Teoria de jocs Jocs cooperatius (Matemàtica) Axiomes Game theory Cooperative games (Mathematics) Axioms |
Issue Date: | Nov-2017 |
Publisher: | Springer Verlag |
Abstract: | Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict the players' possibilities to cooperate. In this paper, we propose three new solutions for games with hierarchical structure and characterize them by properties that relate a player's payoff to the payoffs of other players located in specific positions in the hierarchical structure relative to that player. To define each solution, we consider a certain mapping that transforms the hierarchical structure into a levels structure, and then we apply the standard generalization of the Shapley value to the class of games with levels structure. Such transformation mappings are studied by means of properties that relate a player's position in both types of structure. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s00182-017-0572-z |
It is part of: | International Journal of Game Theory, 2017, vol. 46, num. 4, p. 1089-1113 |
URI: | http://hdl.handle.net/2445/119065 |
Related resource: | https://doi.org/10.1007/s00182-017-0572-z |
ISSN: | 0020-7276 |
Appears in Collections: | Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial) |
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